Integral Lab

This visualisation uses AI Generated code, finetuned for the best visualisation, not code quality

integral03.mov

Interactive Raylib lab for building intuition around the Fundamental Theorem of Calculus: how slopes, antiderivatives, signed area, and accumulation all describe the same structure from different viewpoints.

What This Visualisation Shows

• Why F'(x) = f(x) and A(x) = integral_0^x f(t)dt connect derivative and area
• How positive and negative contributions change the accumulated area function
• Why moving the probe left or right changes the sign and direction of accumulation
• Several panel layouts that compare graph, tangent, rectangles, and area construction side by side

Visual Map

flowchart LR
    A["Function f(x)"]
    B["Signed Strip Sum"]
    C["Accumulated Area A(x)"]
    D["Derivative A'(x)"]
    E["Recover f(x)"]

    A --> B
    B --> C
    C --> D
    D --> E

Loading

Controls

• q: quit
• space: toggle autoplay
• mouse drag: move the probe in graph panels
• Top toggles let you enable tangents, rectangles, autoplay, and related overlays

Run

make run